NCERT Solutions for Class 10 Maths Chapter 15 Probability Exercise 15.2

CBSE X Related Questions

  • 1.
    Find the smallest value of $p$ for which the quadratic equation $x^2 - 2(p + 1)x + p^2 = 0$ has real roots. Hence, find the roots of the equation so obtained.


      • 2.

        In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.


          • 3.
            In a trapezium \(ABCD\), \(AB \parallel DC\) and its diagonals intersect at \(O\). Prove that \[ \frac{OA}{OC} = \frac{OB}{OD} \]


              • 4.
                Solve the following pair of linear equations by graphical method : \(2x + y = 9\) and \(x - 2y = 2\).


                  • 5.

                    There is a circular park of diameter 65 m as shown in the following figure, where AB is a diameter. An entry gate is to be constructed at a point P on the boundary of the park such that distance of P from A is 35 m more than the distance of P from B. Find distance of point P from A and B respectively.


                      • 6.
                        Find 'mean' and 'mode' of the following data : Frequency Distribution Table
                        Class0 – 1515 – 3030 – 4545 – 6060 – 7575 – 90
                        Frequency118157109

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